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Finding the Fourth Proportional to 10,475.76, 14,459.40 and 6,756.24

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Solution

The fourth proportional to 10,475.76, 14,459.40 and 6,756.24 is: 9,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.76 : 14,459.40 = 6,756.24 : x
  2. Step 2: Convert to fraction form
    10,475.76/14,459.40 = 6,756.24/x
  3. Step 3: Cross multiply
    10,475.76x = 14,459.40 × 6,756.24
  4. Step 4: Simplify right side
    10,475.76x = 97,691,176.66
  5. Step 5: Solve for x
    x = 97,691,176.66/10,475.76
  6. Step 6: Final answer
    x = 9,325.45

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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.