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Finding the Fourth Proportional to 7,848.99, 10,828.17 and 4,703.40

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Solution

The fourth proportional to 7,848.99, 10,828.17 and 4,703.40 is: 6,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.99 : 10,828.17 = 4,703.40 : x
  2. Step 2: Convert to fraction form
    7,848.99/10,828.17 = 4,703.40/x
  3. Step 3: Cross multiply
    7,848.99x = 10,828.17 × 4,703.40
  4. Step 4: Simplify right side
    7,848.99x = 50,929,214.78
  5. Step 5: Solve for x
    x = 50,929,214.78/7,848.99
  6. Step 6: Final answer
    x = 6,488.63

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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.