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Finding the Fourth Proportional to 7,587.64, 10,471.80 and 4,603.36

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Solution

The fourth proportional to 7,587.64, 10,471.80 and 4,603.36 is: 6,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.64 : 10,471.80 = 4,603.36 : x
  2. Step 2: Convert to fraction form
    7,587.64/10,471.80 = 4,603.36/x
  3. Step 3: Cross multiply
    7,587.64x = 10,471.80 × 4,603.36
  4. Step 4: Simplify right side
    7,587.64x = 48,205,465.25
  5. Step 5: Solve for x
    x = 48,205,465.25/7,587.64
  6. Step 6: Final answer
    x = 6,353.16

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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.