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Finding the Fourth Proportional to 10,298.04, 15,417.84 and 8,635.92

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Solution

The fourth proportional to 10,298.04, 15,417.84 and 8,635.92 is: 12,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.04 : 15,417.84 = 8,635.92 : x
  2. Step 2: Convert to fraction form
    10,298.04/15,417.84 = 8,635.92/x
  3. Step 3: Cross multiply
    10,298.04x = 15,417.84 × 8,635.92
  4. Step 4: Simplify right side
    10,298.04x = 133,147,232.81
  5. Step 5: Solve for x
    x = 133,147,232.81/10,298.04
  6. Step 6: Final answer
    x = 12,929.38

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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.