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Finding the Fourth Proportional to 10,547.53, 14,555.13 and 5,767.35

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Solution

The fourth proportional to 10,547.53, 14,555.13 and 5,767.35 is: 7,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.53 : 14,555.13 = 5,767.35 : x
  2. Step 2: Convert to fraction form
    10,547.53/14,555.13 = 5,767.35/x
  3. Step 3: Cross multiply
    10,547.53x = 14,555.13 × 5,767.35
  4. Step 4: Simplify right side
    10,547.53x = 83,944,452.80
  5. Step 5: Solve for x
    x = 83,944,452.80/10,547.53
  6. Step 6: Final answer
    x = 7,958.69

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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.