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Finding the Fourth Proportional to 7,585.66, 10,465.32 and 5,600.98

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Solution

The fourth proportional to 7,585.66, 10,465.32 and 5,600.98 is: 7,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.66 : 10,465.32 = 5,600.98 : x
  2. Step 2: Convert to fraction form
    7,585.66/10,465.32 = 5,600.98/x
  3. Step 3: Cross multiply
    7,585.66x = 10,465.32 × 5,600.98
  4. Step 4: Simplify right side
    7,585.66x = 58,616,048.01
  5. Step 5: Solve for x
    x = 58,616,048.01/7,585.66
  6. Step 6: Final answer
    x = 7,727.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.