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Finding the Fourth Proportional to 10,281.84, 15,407.88 and 5,597.88

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Solution

The fourth proportional to 10,281.84, 15,407.88 and 5,597.88 is: 8,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.84 : 15,407.88 = 5,597.88 : x
  2. Step 2: Convert to fraction form
    10,281.84/15,407.88 = 5,597.88/x
  3. Step 3: Cross multiply
    10,281.84x = 15,407.88 × 5,597.88
  4. Step 4: Simplify right side
    10,281.84x = 86,251,463.29
  5. Step 5: Solve for x
    x = 86,251,463.29/10,281.84
  6. Step 6: Final answer
    x = 8,388.72

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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.