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Finding the Fourth Proportional to 10,897.64, 16,346.12 and 3,502.07

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Solution

The fourth proportional to 10,897.64, 16,346.12 and 3,502.07 is: 5,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.64 : 16,346.12 = 3,502.07 : x
  2. Step 2: Convert to fraction form
    10,897.64/16,346.12 = 3,502.07/x
  3. Step 3: Cross multiply
    10,897.64x = 16,346.12 × 3,502.07
  4. Step 4: Simplify right side
    10,897.64x = 57,245,256.47
  5. Step 5: Solve for x
    x = 57,245,256.47/10,897.64
  6. Step 6: Final answer
    x = 5,253.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.