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Finding the Fourth Proportional to 11,530.35, 15,918.93 and 7,501.01

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Solution

The fourth proportional to 11,530.35, 15,918.93 and 7,501.01 is: 10,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.35 : 15,918.93 = 7,501.01 : x
  2. Step 2: Convert to fraction form
    11,530.35/15,918.93 = 7,501.01/x
  3. Step 3: Cross multiply
    11,530.35x = 15,918.93 × 7,501.01
  4. Step 4: Simplify right side
    11,530.35x = 119,407,973.52
  5. Step 5: Solve for x
    x = 119,407,973.52/11,530.35
  6. Step 6: Final answer
    x = 10,355.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.