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Finding the Fourth Proportional to 7,588.86, 10,470.85 and 4,604.10

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Solution

The fourth proportional to 7,588.86, 10,470.85 and 4,604.10 is: 6,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.86 : 10,470.85 = 4,604.10 : x
  2. Step 2: Convert to fraction form
    7,588.86/10,470.85 = 4,604.10/x
  3. Step 3: Cross multiply
    7,588.86x = 10,470.85 × 4,604.10
  4. Step 4: Simplify right side
    7,588.86x = 48,208,840.49
  5. Step 5: Solve for x
    x = 48,208,840.49/7,588.86
  6. Step 6: Final answer
    x = 6,352.58

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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.