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Finding the Fourth Proportional to 10,444.32, 15,655.50 and 7,666.80

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Solution

The fourth proportional to 10,444.32, 15,655.50 and 7,666.80 is: 11,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.32 : 15,655.50 = 7,666.80 : x
  2. Step 2: Convert to fraction form
    10,444.32/15,655.50 = 7,666.80/x
  3. Step 3: Cross multiply
    10,444.32x = 15,655.50 × 7,666.80
  4. Step 4: Simplify right side
    10,444.32x = 120,027,587.40
  5. Step 5: Solve for x
    x = 120,027,587.40/10,444.32
  6. Step 6: Final answer
    x = 11,492.14

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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.