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Finding the Fourth Proportional to 7,780.58, 10,737.84 and 4,424.45

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Solution

The fourth proportional to 7,780.58, 10,737.84 and 4,424.45 is: 6,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.58 : 10,737.84 = 4,424.45 : x
  2. Step 2: Convert to fraction form
    7,780.58/10,737.84 = 4,424.45/x
  3. Step 3: Cross multiply
    7,780.58x = 10,737.84 × 4,424.45
  4. Step 4: Simplify right side
    7,780.58x = 47,509,036.19
  5. Step 5: Solve for x
    x = 47,509,036.19/7,780.58
  6. Step 6: Final answer
    x = 6,106.10

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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.