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Finding the Fourth Proportional to 7,547.52, 11,320.02 and 2,352

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Solution

The fourth proportional to 7,547.52, 11,320.02 and 2,352 is: 3,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.52 : 11,320.02 = 2,352 : x
  2. Step 2: Convert to fraction form
    7,547.52/11,320.02 = 2,352/x
  3. Step 3: Cross multiply
    7,547.52x = 11,320.02 × 2,352
  4. Step 4: Simplify right side
    7,547.52x = 26,624,687.04
  5. Step 5: Solve for x
    x = 26,624,687.04/7,547.52
  6. Step 6: Final answer
    x = 3,527.61

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Why These Related Problems?

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