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Finding the Fourth Proportional to 10,465.94, 14,449.77 and 7,278.18

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Solution

The fourth proportional to 10,465.94, 14,449.77 and 7,278.18 is: 10,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.94 : 14,449.77 = 7,278.18 : x
  2. Step 2: Convert to fraction form
    10,465.94/14,449.77 = 7,278.18/x
  3. Step 3: Cross multiply
    10,465.94x = 14,449.77 × 7,278.18
  4. Step 4: Simplify right side
    10,465.94x = 105,168,027.02
  5. Step 5: Solve for x
    x = 105,168,027.02/10,465.94
  6. Step 6: Final answer
    x = 10,048.60

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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.