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Finding the Fourth Proportional to 10,530.67, 14,533.32 and 7,873.51

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Solution

The fourth proportional to 10,530.67, 14,533.32 and 7,873.51 is: 10,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.67 : 14,533.32 = 7,873.51 : x
  2. Step 2: Convert to fraction form
    10,530.67/14,533.32 = 7,873.51/x
  3. Step 3: Cross multiply
    10,530.67x = 14,533.32 × 7,873.51
  4. Step 4: Simplify right side
    10,530.67x = 114,428,240.35
  5. Step 5: Solve for x
    x = 114,428,240.35/10,530.67
  6. Step 6: Final answer
    x = 10,866.19

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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.