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Finding the Fourth Proportional to 11,353.16, 15,666 and 6,316.10

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Solution

The fourth proportional to 11,353.16, 15,666 and 6,316.10 is: 8,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.16 : 15,666 = 6,316.10 : x
  2. Step 2: Convert to fraction form
    11,353.16/15,666 = 6,316.10/x
  3. Step 3: Cross multiply
    11,353.16x = 15,666 × 6,316.10
  4. Step 4: Simplify right side
    11,353.16x = 98,948,022.60
  5. Step 5: Solve for x
    x = 98,948,022.60/11,353.16
  6. Step 6: Final answer
    x = 8,715.46

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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.