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Finding the Fourth Proportional to 10,277.45, 14,184.45 and 7,457.63

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Solution

The fourth proportional to 10,277.45, 14,184.45 and 7,457.63 is: 10,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.45 : 14,184.45 = 7,457.63 : x
  2. Step 2: Convert to fraction form
    10,277.45/14,184.45 = 7,457.63/x
  3. Step 3: Cross multiply
    10,277.45x = 14,184.45 × 7,457.63
  4. Step 4: Simplify right side
    10,277.45x = 105,782,313.82
  5. Step 5: Solve for x
    x = 105,782,313.82/10,277.45
  6. Step 6: Final answer
    x = 10,292.66

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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.