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Finding the Fourth Proportional to 10,551.42, 14,547.26 and 6,565.41

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Solution

The fourth proportional to 10,551.42, 14,547.26 and 6,565.41 is: 9,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.42 : 14,547.26 = 6,565.41 : x
  2. Step 2: Convert to fraction form
    10,551.42/14,547.26 = 6,565.41/x
  3. Step 3: Cross multiply
    10,551.42x = 14,547.26 × 6,565.41
  4. Step 4: Simplify right side
    10,551.42x = 95,508,742.69
  5. Step 5: Solve for x
    x = 95,508,742.69/10,551.42
  6. Step 6: Final answer
    x = 9,051.74

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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.