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Finding the Fourth Proportional to 7,710.54, 10,641.06 and 5,818.74

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Solution

The fourth proportional to 7,710.54, 10,641.06 and 5,818.74 is: 8,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.54 : 10,641.06 = 5,818.74 : x
  2. Step 2: Convert to fraction form
    7,710.54/10,641.06 = 5,818.74/x
  3. Step 3: Cross multiply
    7,710.54x = 10,641.06 × 5,818.74
  4. Step 4: Simplify right side
    7,710.54x = 61,917,561.46
  5. Step 5: Solve for x
    x = 61,917,561.46/7,710.54
  6. Step 6: Final answer
    x = 8,030.25

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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.