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Finding the Fourth Proportional to 11,501.04, 15,860.16 and 7,302

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Solution

The fourth proportional to 11,501.04, 15,860.16 and 7,302 is: 10,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.04 : 15,860.16 = 7,302 : x
  2. Step 2: Convert to fraction form
    11,501.04/15,860.16 = 7,302/x
  3. Step 3: Cross multiply
    11,501.04x = 15,860.16 × 7,302
  4. Step 4: Simplify right side
    11,501.04x = 115,810,888.32
  5. Step 5: Solve for x
    x = 115,810,888.32/11,501.04
  6. Step 6: Final answer
    x = 10,069.60

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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.