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Finding the Fourth Proportional to 8,570.16, 12,856.86 and 5,803.20

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Solution

The fourth proportional to 8,570.16, 12,856.86 and 5,803.20 is: 8,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.16 : 12,856.86 = 5,803.20 : x
  2. Step 2: Convert to fraction form
    8,570.16/12,856.86 = 5,803.20/x
  3. Step 3: Cross multiply
    8,570.16x = 12,856.86 × 5,803.20
  4. Step 4: Simplify right side
    8,570.16x = 74,610,929.95
  5. Step 5: Solve for x
    x = 74,610,929.95/8,570.16
  6. Step 6: Final answer
    x = 8,705.90

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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.