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Finding the Fourth Proportional to 8,587.36, 12,848.64 and 5,669.20

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Solution

The fourth proportional to 8,587.36, 12,848.64 and 5,669.20 is: 8,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.36 : 12,848.64 = 5,669.20 : x
  2. Step 2: Convert to fraction form
    8,587.36/12,848.64 = 5,669.20/x
  3. Step 3: Cross multiply
    8,587.36x = 12,848.64 × 5,669.20
  4. Step 4: Simplify right side
    8,587.36x = 72,841,509.89
  5. Step 5: Solve for x
    x = 72,841,509.89/8,587.36
  6. Step 6: Final answer
    x = 8,482.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.