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Finding the Fourth Proportional to 7,840.08, 10,823.76 and 4,857.12

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Solution

The fourth proportional to 7,840.08, 10,823.76 and 4,857.12 is: 6,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.08 : 10,823.76 = 4,857.12 : x
  2. Step 2: Convert to fraction form
    7,840.08/10,823.76 = 4,857.12/x
  3. Step 3: Cross multiply
    7,840.08x = 10,823.76 × 4,857.12
  4. Step 4: Simplify right side
    7,840.08x = 52,572,301.17
  5. Step 5: Solve for x
    x = 52,572,301.17/7,840.08
  6. Step 6: Final answer
    x = 6,705.58

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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.