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Finding the Fourth Proportional to 7,565.52, 11,347.02 and 2,370

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Solution

The fourth proportional to 7,565.52, 11,347.02 and 2,370 is: 3,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.52 : 11,347.02 = 2,370 : x
  2. Step 2: Convert to fraction form
    7,565.52/11,347.02 = 2,370/x
  3. Step 3: Cross multiply
    7,565.52x = 11,347.02 × 2,370
  4. Step 4: Simplify right side
    7,565.52x = 26,892,437.40
  5. Step 5: Solve for x
    x = 26,892,437.40/7,565.52
  6. Step 6: Final answer
    x = 3,554.61

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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.