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Finding the Fourth Proportional to 10,689.84, 16,034.64 and 4,842.40

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Solution

The fourth proportional to 10,689.84, 16,034.64 and 4,842.40 is: 7,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.84 : 16,034.64 = 4,842.40 : x
  2. Step 2: Convert to fraction form
    10,689.84/16,034.64 = 4,842.40/x
  3. Step 3: Cross multiply
    10,689.84x = 16,034.64 × 4,842.40
  4. Step 4: Simplify right side
    10,689.84x = 77,646,140.74
  5. Step 5: Solve for x
    x = 77,646,140.74/10,689.84
  6. Step 6: Final answer
    x = 7,263.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.