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Finding the Fourth Proportional to 7,565.16, 11,340.45 and 5,094.45

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Solution

The fourth proportional to 7,565.16, 11,340.45 and 5,094.45 is: 7,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.16 : 11,340.45 = 5,094.45 : x
  2. Step 2: Convert to fraction form
    7,565.16/11,340.45 = 5,094.45/x
  3. Step 3: Cross multiply
    7,565.16x = 11,340.45 × 5,094.45
  4. Step 4: Simplify right side
    7,565.16x = 57,773,355.50
  5. Step 5: Solve for x
    x = 57,773,355.50/7,565.16
  6. Step 6: Final answer
    x = 7,636.77

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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.