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Finding the Fourth Proportional to 10,482.81, 14,466.56 and 5,703.07

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Solution

The fourth proportional to 10,482.81, 14,466.56 and 5,703.07 is: 7,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.81 : 14,466.56 = 5,703.07 : x
  2. Step 2: Convert to fraction form
    10,482.81/14,466.56 = 5,703.07/x
  3. Step 3: Cross multiply
    10,482.81x = 14,466.56 × 5,703.07
  4. Step 4: Simplify right side
    10,482.81x = 82,503,804.34
  5. Step 5: Solve for x
    x = 82,503,804.34/10,482.81
  6. Step 6: Final answer
    x = 7,870.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.