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Finding the Fourth Proportional to 10,547.70, 15,821.69 and 2,756.50

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Solution

The fourth proportional to 10,547.70, 15,821.69 and 2,756.50 is: 4,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.70 : 15,821.69 = 2,756.50 : x
  2. Step 2: Convert to fraction form
    10,547.70/15,821.69 = 2,756.50/x
  3. Step 3: Cross multiply
    10,547.70x = 15,821.69 × 2,756.50
  4. Step 4: Simplify right side
    10,547.70x = 43,612,488.49
  5. Step 5: Solve for x
    x = 43,612,488.49/10,547.70
  6. Step 6: Final answer
    x = 4,134.79

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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.