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Finding the Fourth Proportional to 11,507.10, 15,875.64 and 7,530.48

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Solution

The fourth proportional to 11,507.10, 15,875.64 and 7,530.48 is: 10,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.10 : 15,875.64 = 7,530.48 : x
  2. Step 2: Convert to fraction form
    11,507.10/15,875.64 = 7,530.48/x
  3. Step 3: Cross multiply
    11,507.10x = 15,875.64 × 7,530.48
  4. Step 4: Simplify right side
    11,507.10x = 119,551,189.51
  5. Step 5: Solve for x
    x = 119,551,189.51/11,507.10
  6. Step 6: Final answer
    x = 10,389.34

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