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Finding the Fourth Proportional to 7,641.63, 10,547.70 and 4,989.45

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Solution

The fourth proportional to 7,641.63, 10,547.70 and 4,989.45 is: 6,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.63 : 10,547.70 = 4,989.45 : x
  2. Step 2: Convert to fraction form
    7,641.63/10,547.70 = 4,989.45/x
  3. Step 3: Cross multiply
    7,641.63x = 10,547.70 × 4,989.45
  4. Step 4: Simplify right side
    7,641.63x = 52,627,221.77
  5. Step 5: Solve for x
    x = 52,627,221.77/7,641.63
  6. Step 6: Final answer
    x = 6,886.91

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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.