Finding the Fourth Proportional to 10,509.12, 15,765.30 and 3,582
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Solution
The fourth proportional to 10,509.12, 15,765.30 and 3,582 is: 5,373.55
Step by Step Solution
- Step 1: Write the proportion equation
10,509.12 : 15,765.30 = 3,582 : x - Step 2: Convert to fraction form
10,509.12/15,765.30 = 3,582/x - Step 3: Cross multiply
10,509.12x = 15,765.30 × 3,582 - Step 4: Simplify right side
10,509.12x = 56,471,304.60 - Step 5: Solve for x
x = 56,471,304.60/10,509.12 - Step 6: Final answer
x = 5,373.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.