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Finding the Fourth Proportional to 10,477.60, 15,628.12 and 9,751.84

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Solution

The fourth proportional to 10,477.60, 15,628.12 and 9,751.84 is: 14,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.60 : 15,628.12 = 9,751.84 : x
  2. Step 2: Convert to fraction form
    10,477.60/15,628.12 = 9,751.84/x
  3. Step 3: Cross multiply
    10,477.60x = 15,628.12 × 9,751.84
  4. Step 4: Simplify right side
    10,477.60x = 152,402,925.74
  5. Step 5: Solve for x
    x = 152,402,925.74/10,477.60
  6. Step 6: Final answer
    x = 14,545.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.