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Finding the Fourth Proportional to 7,746.60, 10,690.31 and 4,560.00

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Solution

The fourth proportional to 7,746.60, 10,690.31 and 4,560.00 is: 6,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.60 : 10,690.31 = 4,560.00 : x
  2. Step 2: Convert to fraction form
    7,746.60/10,690.31 = 4,560.00/x
  3. Step 3: Cross multiply
    7,746.60x = 10,690.31 × 4,560.00
  4. Step 4: Simplify right side
    7,746.60x = 48,747,784.91
  5. Step 5: Solve for x
    x = 48,747,784.91/7,746.60
  6. Step 6: Final answer
    x = 6,292.79

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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.