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Finding the Fourth Proportional to 10,160.51, 14,017.05 and 7,798.55

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Solution

The fourth proportional to 10,160.51, 14,017.05 and 7,798.55 is: 10,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.51 : 14,017.05 = 7,798.55 : x
  2. Step 2: Convert to fraction form
    10,160.51/14,017.05 = 7,798.55/x
  3. Step 3: Cross multiply
    10,160.51x = 14,017.05 × 7,798.55
  4. Step 4: Simplify right side
    10,160.51x = 109,312,595.19
  5. Step 5: Solve for x
    x = 109,312,595.19/10,160.51
  6. Step 6: Final answer
    x = 10,758.58

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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.