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Finding the Fourth Proportional to 10,459.42, 14,440.76 and 6,484.75

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Solution

The fourth proportional to 10,459.42, 14,440.76 and 6,484.75 is: 8,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.42 : 14,440.76 = 6,484.75 : x
  2. Step 2: Convert to fraction form
    10,459.42/14,440.76 = 6,484.75/x
  3. Step 3: Cross multiply
    10,459.42x = 14,440.76 × 6,484.75
  4. Step 4: Simplify right side
    10,459.42x = 93,644,718.41
  5. Step 5: Solve for x
    x = 93,644,718.41/10,459.42
  6. Step 6: Final answer
    x = 8,953.15

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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.