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Finding the Fourth Proportional to 11,501.02, 15,871.02 and 6,465.10

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Solution

The fourth proportional to 11,501.02, 15,871.02 and 6,465.10 is: 8,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.02 : 15,871.02 = 6,465.10 : x
  2. Step 2: Convert to fraction form
    11,501.02/15,871.02 = 6,465.10/x
  3. Step 3: Cross multiply
    11,501.02x = 15,871.02 × 6,465.10
  4. Step 4: Simplify right side
    11,501.02x = 102,607,731.40
  5. Step 5: Solve for x
    x = 102,607,731.40/11,501.02
  6. Step 6: Final answer
    x = 8,921.62

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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.