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Finding the Fourth Proportional to 10,484.51, 14,465.08 and 7,121.49

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Solution

The fourth proportional to 10,484.51, 14,465.08 and 7,121.49 is: 9,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.51 : 14,465.08 = 7,121.49 : x
  2. Step 2: Convert to fraction form
    10,484.51/14,465.08 = 7,121.49/x
  3. Step 3: Cross multiply
    10,484.51x = 14,465.08 × 7,121.49
  4. Step 4: Simplify right side
    10,484.51x = 103,012,904.77
  5. Step 5: Solve for x
    x = 103,012,904.77/10,484.51
  6. Step 6: Final answer
    x = 9,825.25

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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.