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Finding the Fourth Proportional to 7,888.76, 10,886.42 and 4,352

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Solution

The fourth proportional to 7,888.76, 10,886.42 and 4,352 is: 6,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.76 : 10,886.42 = 4,352 : x
  2. Step 2: Convert to fraction form
    7,888.76/10,886.42 = 4,352/x
  3. Step 3: Cross multiply
    7,888.76x = 10,886.42 × 4,352
  4. Step 4: Simplify right side
    7,888.76x = 47,377,699.84
  5. Step 5: Solve for x
    x = 47,377,699.84/7,888.76
  6. Step 6: Final answer
    x = 6,005.72

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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.