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Finding the Fourth Proportional to 7,854.91, 10,840.40 and 4,498.78

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Solution

The fourth proportional to 7,854.91, 10,840.40 and 4,498.78 is: 6,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.91 : 10,840.40 = 4,498.78 : x
  2. Step 2: Convert to fraction form
    7,854.91/10,840.40 = 4,498.78/x
  3. Step 3: Cross multiply
    7,854.91x = 10,840.40 × 4,498.78
  4. Step 4: Simplify right side
    7,854.91x = 48,768,574.71
  5. Step 5: Solve for x
    x = 48,768,574.71/7,854.91
  6. Step 6: Final answer
    x = 6,208.67

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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.