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Finding the Fourth Proportional to 10,634.71, 14,668.27 and 7,802.95

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Solution

The fourth proportional to 10,634.71, 14,668.27 and 7,802.95 is: 10,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.71 : 14,668.27 = 7,802.95 : x
  2. Step 2: Convert to fraction form
    10,634.71/14,668.27 = 7,802.95/x
  3. Step 3: Cross multiply
    10,634.71x = 14,668.27 × 7,802.95
  4. Step 4: Simplify right side
    10,634.71x = 114,455,777.40
  5. Step 5: Solve for x
    x = 114,455,777.40/10,634.71
  6. Step 6: Final answer
    x = 10,762.47

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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.