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Finding the Fourth Proportional to 11,527.84, 15,909.12 and 6,492.28

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Solution

The fourth proportional to 11,527.84, 15,909.12 and 6,492.28 is: 8,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.84 : 15,909.12 = 6,492.28 : x
  2. Step 2: Convert to fraction form
    11,527.84/15,909.12 = 6,492.28/x
  3. Step 3: Cross multiply
    11,527.84x = 15,909.12 × 6,492.28
  4. Step 4: Simplify right side
    11,527.84x = 103,286,461.59
  5. Step 5: Solve for x
    x = 103,286,461.59/11,527.84
  6. Step 6: Final answer
    x = 8,959.74

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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.