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Finding the Fourth Proportional to 10,470.90, 14,462.61 and 7,830.03

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Solution

The fourth proportional to 10,470.90, 14,462.61 and 7,830.03 is: 10,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.90 : 14,462.61 = 7,830.03 : x
  2. Step 2: Convert to fraction form
    10,470.90/14,462.61 = 7,830.03/x
  3. Step 3: Cross multiply
    10,470.90x = 14,462.61 × 7,830.03
  4. Step 4: Simplify right side
    10,470.90x = 113,242,670.18
  5. Step 5: Solve for x
    x = 113,242,670.18/10,470.90
  6. Step 6: Final answer
    x = 10,814.99

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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.