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Finding the Fourth Proportional to 7,780.84, 10,737.80 and 4,378.45

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Solution

The fourth proportional to 7,780.84, 10,737.80 and 4,378.45 is: 6,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.84 : 10,737.80 = 4,378.45 : x
  2. Step 2: Convert to fraction form
    7,780.84/10,737.80 = 4,378.45/x
  3. Step 3: Cross multiply
    7,780.84x = 10,737.80 × 4,378.45
  4. Step 4: Simplify right side
    7,780.84x = 47,014,904.51
  5. Step 5: Solve for x
    x = 47,014,904.51/7,780.84
  6. Step 6: Final answer
    x = 6,042.40

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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.