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Finding the Fourth Proportional to 7,848.18, 10,830.78 and 4,703.76

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Solution

The fourth proportional to 7,848.18, 10,830.78 and 4,703.76 is: 6,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.18 : 10,830.78 = 4,703.76 : x
  2. Step 2: Convert to fraction form
    7,848.18/10,830.78 = 4,703.76/x
  3. Step 3: Cross multiply
    7,848.18x = 10,830.78 × 4,703.76
  4. Step 4: Simplify right side
    7,848.18x = 50,945,389.73
  5. Step 5: Solve for x
    x = 50,945,389.73/7,848.18
  6. Step 6: Final answer
    x = 6,491.36

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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.