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Finding the Fourth Proportional to 10,547.95, 14,559.03 and 6,566.68

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Solution

The fourth proportional to 10,547.95, 14,559.03 and 6,566.68 is: 9,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.95 : 14,559.03 = 6,566.68 : x
  2. Step 2: Convert to fraction form
    10,547.95/14,559.03 = 6,566.68/x
  3. Step 3: Cross multiply
    10,547.95x = 14,559.03 × 6,566.68
  4. Step 4: Simplify right side
    10,547.95x = 95,604,491.12
  5. Step 5: Solve for x
    x = 95,604,491.12/10,547.95
  6. Step 6: Final answer
    x = 9,063.80

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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.